Extensions of Banach Lie-Poisson spaces

Mathematics – Symplectic Geometry

Scientific paper

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22 pages

Scientific paper

The extension of Banach Lie-Poisson spaces is studied and linked to the
extension of a special class of Banach Lie algebras. The case of W*-algebras is
given particular attention. Semidirect products and the extension of the
restricted Banach Lie-Poisson space by the Banach Lie-Poisson space of compact
operators are given as examples.

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